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A contest consists of ranking `10` songs of which `6` are Indian classic and `4` are westorn songs. Number of ways of ranking so that (mention correct statements)A. There are exactly `3` indian classic songs in top `5` is `(5!)^(3)`.B. Top rank goes to Indian classic song is `6(9!)`C. The ranks of all western songs are consecutive is `4!7!`D. The `6` Indian classic songs are in a specified order is `"^(10)P_(4)`. |
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Answer» Correct Answer - A::B::C::D `(a,b,c,d)` `(a) ^(6)C_(3)^(4)C_(2)5!5! =(5!)^(3)` `(b) ^(6)C_(1)9!` `(c ) (6+1)!4!` `(d) ^(10)P_(4)` |
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